Does this system have memory or memoryless?and why?

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Discussion Overview

The discussion revolves around whether a given system is memoryless or has memory, specifically analyzing the system described by the equation Y[n+1] + 4Y[n] = 3 X[n+1] - X[n]. The scope includes definitions from digital signal processing (DSP) and the application of these definitions to the provided system.

Discussion Character

  • Debate/contested

Main Points Raised

  • One participant questions if the system is memoryless or has memory, seeking clarification on the definitions.
  • Another participant emphasizes that a memoryless system's output at a given time depends solely on the input at that same time.
  • There are repeated assertions that the system has memory, with one participant suggesting that Y[t1] depends on T[t1-T], implying a relationship that indicates memory.
  • Participants express uncertainty about how to apply the memory definition to the specific system equation.

Areas of Agreement / Disagreement

There is no consensus on whether the system is memoryless or has memory, as participants present differing views and interpretations of the definitions.

Contextual Notes

Participants have not fully explored the implications of the system equation in relation to the definitions of memory and memoryless systems, and there are unresolved steps in applying these definitions to the specific case.

angel23
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does this system have memory or memoryless??and why??

Y[n+1] + 4Y[n] = 3 X[n+1] - X[n]
 
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I moved this to the homework forums. Angel23, as you know, you need to show some of your own work to get help from the PF community. What are the definitions of DSP with and without memory?
 
ok a memoryless system is the system in which the value of output at t1 depends only on the value of the input at t1.

now i want to apply this on the given system how can i do?
 
angel23 said:
ok a memoryless system is the system in which the value of output at t1 depends only on the value of the input at t1.

now i want to apply this on the given system how can i do?
Let t1= (n+1)*T and see if your definition applies.
 
it has memory.
right?
 
angel23 said:
it has memory.
right?
Yes, since Y[t1] depends on T[t1-T].
 

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